# Difficult Pie Charts Solved QuestionData Interpretation Discussion

Common Information

Answer the questions on the basis of the information given below.

In a school, there are four chemical laboratories namely Lab 1, Lab 2, Lab 3 and Lab 4. There are only six types of acids that are available in these laboratories. The following table provides information about the number of bottles of each type of acid in each of these laboratories.

Every bottle of acid in the chemical laboratories is further categorized on the basis of its capacity under one or the other of the five different categories namely ‘S’, ‘M’, ‘L’, ‘XL’ and ‘XXL’.
The following chart provides information about the number of bottles of acids in each of the mentioned categories (on the basis of its capacity) as a percentage of the total number of bottles of acids in these laboratories.

 Q. Common Information Question: 3/5 Additional Information for questions 3 and 4: All the bottles containing one or the other of the three acids namely Sulphuric, Nitric and Nitrous are in one or the other of the three categories S, M and L only. Also, the total number of bottles of Benzoic, Hydrochloric and Salicylic acid that are in one or the other of three categories S, M and L are ‘a’, ‘b’ and ‘c’ respectively. Which of the following can be equal to the ratio $a : b : c$?
 ✖ A. 2 : 31 : 5 ✔ B. 13 : 17 : 17 ✖ C. 15 : 7 : 19 ✖ D. 13 : 7 : 30 ✖ E. None of these

Solution:
Option(B) is correct

Given that all the bottles containing one or the other of the three acids namely Sulphuric, Nitric and Nitrous are in one or the other of the three categories S, M and L.

Total number of bottles containing one or the other of three acids namely Sulphuric, Nitric and Nitrous acid is:

$=384 + 367 + 402$

$= 1153$

Total number of bottles of acids in the three categories S, M and L:

$= 360 + 600 + 240$

$= 1200$

Difference:

$= 1200 – 1153 = 47$

⇒ $a + b + c = 47$

Out of the options given only option (B) can be a possible ratio of $a: b: c$.